Question

Will give brainlist
The radius of a circle is 9 centimeters. What is the length of a 96° arc?

Answer 1

Wrong answer but unique technique to consider: i think i inversed the ratio but i think its right

Pi = circumference/diameter

X/18 centimeters =pi

X is whole circumference 18pi cm you need to convert radians to degrees and get partial arc1 pi is 180 degrees so ratio of

Was the error inverse ratio 96/180?

180/96*18

Error here factor of 72 not 96

18*2*3*3*10/2*3*12 [edit factor should be 2 4 12 ]cancel out factors to reduce

180/4 =45cm

Correction

180*3/4*4

So answers i got are 45 cm corrected as 33.75 cm still way more than total circumference of 18pi 56cmapprox and 9.6cm both are wrong according to calculator online

Please note I canceled out pi by using is degree ratio

Double check i may be wrong

Step-by-step explanation:

Answer 2

Answer:

Solution, we have,

Degree measure ($\theeta$$\alpha$) = 96° = 96$\pi$/180

Radius (r) = 9cm

Length of arc (l) = ?

Now,

∝ = l /r

or, $\frac{96\pi }{180}$  =$\frac{l}{9}$

or, l =$\frac{(96\pi )(9)}{180}$  =4.8$\pi$cm